# Virtually-asymptotic net

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A net (in differential geometry) on a surface $V _ {2}$ in Euclidean space which, on being deformed somewhat ( $f: V _ {2} \rightarrow V _ {2} ^ {*}$), becomes an asymptotic net of the surface $V _ {2} ^ {*}$. A Voss surface is distinguished by the presence of a conjugate virtually-asymptotic net.

#### References

 [1] V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian)
How to Cite This Entry:
Virtually-asymptotic net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Virtually-asymptotic_net&oldid=49152
This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article